{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Achromatic Doublet"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {},
   "outputs": [],
   "source": [
    "import numpy as np\n",
    "\n",
    "from optiland import optic"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Initialization empty 'Optic' object, which is the core class in Optiland representing an optical system."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {},
   "outputs": [],
   "source": [
    "lens = optic.Optic()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Add surfaces, one at a time. We first define an N-BAK1 lens, which is bonded to an SF2 lens. The lens radii and thicknesses are defined as follows."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {},
   "outputs": [],
   "source": [
    "# add surfaces\n",
    "lens.add_surface(index=0, thickness=np.inf)\n",
    "lens.add_surface(\n",
    "    index=1,\n",
    "    radius=12.38401,\n",
    "    thickness=0.4340,\n",
    "    is_stop=True,\n",
    "    material=\"N-BAK1\",\n",
    ")\n",
    "lens.add_surface(index=2, radius=-7.94140, thickness=0.3210, material=(\"SF2\", \"schott\"))\n",
    "lens.add_surface(index=3, radius=-48.44396, thickness=19.6059)\n",
    "lens.add_surface(index=4)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Add the aperture. We choose image-space F-number (imageFNO) as the aperture type and choose a value of 6."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {},
   "outputs": [],
   "source": [
    "# add aperture\n",
    "lens.set_aperture(aperture_type=\"imageFNO\", value=6.0)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Set the field type to angle and choose fields at 0.0, 3.5 and 5.0 degrees."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {},
   "outputs": [],
   "source": [
    "# add field\n",
    "lens.set_field_type(field_type=\"angle\")\n",
    "lens.add_field(y=0.0)\n",
    "lens.add_field(y=3.5)\n",
    "lens.add_field(y=5.0)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "We add wavelengths across the visible spectrum based on the standard F, d and C lines Fraunhofer lines. The wavelength at 0.5876 microns is defined as the primary wavelength."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {},
   "outputs": [],
   "source": [
    "# add wavelength\n",
    "lens.add_wavelength(value=0.4861)\n",
    "lens.add_wavelength(value=0.5876, is_primary=True)\n",
    "lens.add_wavelength(value=0.6563)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "View the system in 2D:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 1000x400 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "lens.draw(num_rays=10)"
   ]
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": ".venv",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.11.1"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 2
}
